Computer-implemented system and method including public key combination verification

Abstract

A computer-implemented method is disclosed. The method includes providing a blockchain transaction comprising a public key combination verification function. The blockchain transaction is configured to be redeemable to permit access to, or transfer control of, a resource by providing to the blockchain transaction an input comprising: a plurality of public keys; a gradient value (k) related to two of the plurality of public keys; and a group public key derived from a combination of the public keys and the gradient value (λ). The blockchain transaction is configured to apply the public key verification function to the input to verify, upon successful redemption of the transaction, that the group public key is derived from the combination of the plurality of public keys.

Dependencies are inferred from the claim text.